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Finding the Fourth Proportional to 14,469.61, 21,706 and 4,606.58

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Solution

The fourth proportional to 14,469.61, 21,706 and 4,606.58 is: 6,910.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,469.61 : 21,706 = 4,606.58 : x
  2. Step 2: Convert to fraction form
    14,469.61/21,706 = 4,606.58/x
  3. Step 3: Cross multiply
    14,469.61x = 21,706 × 4,606.58
  4. Step 4: Simplify right side
    14,469.61x = 99,990,316.95
  5. Step 5: Solve for x
    x = 99,990,316.95/14,469.61
  6. Step 6: Final answer
    x = 6,910.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.